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Updated on: 29 Oct 2012, 14:25
Originally posted by phoenix9801 on 01 Jun 2012, 11:19.
Last edited by Bunuel on 29 Oct 2012, 14:25, edited 2 times in total.
Last edited by Bunuel on 29 Oct 2012, 14:25, edited 2 times in total.
OA added.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
65% (01:59) correct
35%
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The ratio, by volume, of baking soda to peroxide to water in a certain solution is 2:50:100. The solution will be altered so that the ratio of baking soda to water is halved while the ratio of baking soda to peroxide is doubled. How many cubic centimeters of water will this solution contain if the altered solution will contain 100 cubic centimeters of peroxide?
A. 50
B. 200
C. 400
D. 625
E. 800
The Book does not show any answers. Hence I need to figure out if I have done them correctly or not. Please help me if you can. Would greatly appropriate it. Thanks.
A. 50
B. 200
C. 400
D. 625
E. 800
The Book does not show any answers. Hence I need to figure out if I have done them correctly or not. Please help me if you can. Would greatly appropriate it. Thanks.
02 Jun 2012, 08:00
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phoenix9801
Given: \(\frac{B}{{\frac{P}{W}}}=\frac{2}{{\frac{50}{100}}}\);
The ratio of baking soda to water is halved --> \(\frac{B}{W}=\frac{1}{2}*\frac{2}{100}=\frac{1}{100}=\frac{4}{400}\);
The ratio of baking soda to peroxide is doubled --> \(\frac{B}{P}=2*\frac{2}{50}=\frac{4}{50}\);
New ratio: \(\frac{B}{{\frac{P}{W}}}=\frac{4}{{\frac{50}{400}}}\) --> \(\frac{P}{W}=\frac{50}{400}\) --> if \(P=2*50=100\) then \(W=2*400=800\).
Answer: E.
02 Jun 2012, 02:19
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souvik101990
My working is similar, only thing is probably the ratios are different
B:P:W=2:50:100
That is B:P=2:50 and B:W=2:100
After altering the solution
B:W is halved
New B:w now is 1:100 (or 4:400)
B:P is doubled
New B:P now is 4:50
In new solution
B:P:W = 4:50:400
or 8:100:800
When P is 100cc, Water is 800cc
E, it is.
